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Finding the Fourth Proportional to 7,847.72, 10,828.68 and 4,490

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Solution

The fourth proportional to 7,847.72, 10,828.68 and 4,490 is: 6,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.72 : 10,828.68 = 4,490 : x
  2. Step 2: Convert to fraction form
    7,847.72/10,828.68 = 4,490/x
  3. Step 3: Cross multiply
    7,847.72x = 10,828.68 × 4,490
  4. Step 4: Simplify right side
    7,847.72x = 48,620,773.20
  5. Step 5: Solve for x
    x = 48,620,773.20/7,847.72
  6. Step 6: Final answer
    x = 6,195.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.